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Weight Function Methods in Fracture Mechanics

Weight Function Methods in Fracture Mechanics
Author: Xue-Ren Wu
Publisher: Springer Nature
Total Pages: 665
Release: 2022-07-04
Genre: Science
ISBN: 981168961X

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This book provides a systematic and standardized approach based on the authors’ over 30 years of research experience with weight function methods, as well as the relevant literature. Fracture mechanics has become an indispensable tool for the design and safe operation of damage-tolerant structures in many important technical areas. The stress intensity factor—the characterizing parameter of the crack tip field—is the foundation of fracture mechanics analysis. The weight function method is a powerful technique for determining stress intensity factors and crack opening displacements for complex load conditions, with remarkable computational efficiency and high accuracy. The book presents the theoretical background of the weight function methods, together with a wealth of analytical weight functions and stress intensity factors for two- and three-dimensional crack geometries; many of these have been incorporated into national, international standards and industrial codes of practice. The accuracy of the results is rigorously verified, and various sample applications are provided. Accordingly, the book offers an ideal reference source for graduate students, researchers, and engineers whose work involves fracture and fatigue of materials and structures, who need not only stress intensity factors themselves but also efficient and reliable tools for obtaining them.


Weight Functions and Stress Intensity Factor Solutions

Weight Functions and Stress Intensity Factor Solutions
Author: Xue-Ren Wu
Publisher: Pergamon
Total Pages: 540
Release: 1991
Genre: Science
ISBN:

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Fracture mechanics is an indispensible tool in the design and safe operation of damage tolerant structures. One of the essential elements in fracture mechanics based analysis is the stress intensity factor. This book provides a powerful theoretical background to the weight function method in fracture mechanics and numerous stress intensity factors. Part I gives a theoretical background and overview of the weight function method. Part II provides further details of the weight functions for various geometries and a large number of stress intensity factor solutions. Part II deals with the determination of crack opening displacements, Dugdale model solutions and crack opening areas.


Fracture Mechanics

Fracture Mechanics
Author:
Publisher: ASTM International
Total Pages: 685
Release: 1989
Genre:
ISBN: 0803112505

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Fracture Mechanics

Fracture Mechanics
Author: Satya N. Atluri
Publisher: ASTM International
Total Pages: 448
Release: 1992
Genre: Elasticity
ISBN: 0803114400

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Papers of the June 1990 meeting held in Atlanta, Ga. The first volume (47 papers) concentrates on experimental and theoretical aspects of fracture mechanics. Volume two (26 papers) covers numerical and computational approaches. Topics include: ductile fracture, high-temperature and time-dependent fr


Stress Intensity Factors and Weight Functions

Stress Intensity Factors and Weight Functions
Author: Theo Fett
Publisher: Computational Mechanics
Total Pages: 416
Release: 1997
Genre: Science
ISBN:

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In this book the authors describe methods for the calculation of weight functions. In the first part they discuss the accuracy and convergence behaviour of methods for one- and two-dimensional cracks, while in the second part they provide solutions for cracks subjected to mode-I and mode-II loading.


Fracture Mechanics, Nineteenth Symposium

Fracture Mechanics, Nineteenth Symposium
Author: Thomas A. Cruse
Publisher: ASTM International
Total Pages: 936
Release: 1988
Genre: Fracture mechanics
ISBN: 0803109725

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Boundary Element Analysis in Computational Fracture Mechanics

Boundary Element Analysis in Computational Fracture Mechanics
Author: T.A. Cruse
Publisher: Springer Science & Business Media
Total Pages: 171
Release: 2012-12-06
Genre: Science
ISBN: 9400913850

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The Boundary Integral Equation (BIE) method has occupied me to various degrees for the past twenty-two years. The attraction of BIE analysis has been its unique combination of mathematics and practical application. The EIE method is unforgiving in its requirement for mathe matical care and its requirement for diligence in creating effective numerical algorithms. The EIE method has the ability to provide critical inSight into the mathematics that underlie one of the most powerful and useful modeling approximations ever devised--elasticity. The method has even revealed important new insights into the nature of crack tip plastic strain distributions. I believe that EIE modeling of physical problems is one of the remaining opportunities for challenging and fruitful research by those willing to apply sound mathematical discipline coupled with phys ical insight and a desire to relate the two in new ways. The monograph that follows is the summation of many of the successes of that twenty-two years, supported by the ideas and synergisms that come from working with individuals who share a common interest in engineering mathematics and their application. The focus of the monograph is on the application of EIE modeling to one of the most important of the solid mechanics disciplines--fracture mechanics. The monograph is not a trea tise on fracture mechanics, as there are many others who are far more qualified than I to expound on that topic.


Fracture Mechanics

Fracture Mechanics
Author: Ted L. Anderson
Publisher: CRC Press
Total Pages: 1148
Release: 1994-12-16
Genre: Science
ISBN: 9780849342608

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This bestselling text/reference provides a comprehensive treatment of the fundamentals of fracture mechanics. It presents theoretical background as well as practical applications, and it integrates materials science with solid mechanics. In the Second Edition, about 30% of the material has been updated and expanded; new technology is discussed, and feedback from users of the first edition has been incorporated.